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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math.linear;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import java.io.IOException;<a name="line.20"></a>
<FONT color="green">021</FONT>    import java.io.ObjectInputStream;<a name="line.21"></a>
<FONT color="green">022</FONT>    import java.io.ObjectOutputStream;<a name="line.22"></a>
<FONT color="green">023</FONT>    import java.lang.reflect.Array;<a name="line.23"></a>
<FONT color="green">024</FONT>    import java.math.BigDecimal;<a name="line.24"></a>
<FONT color="green">025</FONT>    import java.util.Arrays;<a name="line.25"></a>
<FONT color="green">026</FONT>    <a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math.Field;<a name="line.27"></a>
<FONT color="green">028</FONT>    import org.apache.commons.math.FieldElement;<a name="line.28"></a>
<FONT color="green">029</FONT>    import org.apache.commons.math.MathRuntimeException;<a name="line.29"></a>
<FONT color="green">030</FONT>    import org.apache.commons.math.exception.util.LocalizedFormats;<a name="line.30"></a>
<FONT color="green">031</FONT>    import org.apache.commons.math.fraction.BigFraction;<a name="line.31"></a>
<FONT color="green">032</FONT>    import org.apache.commons.math.fraction.Fraction;<a name="line.32"></a>
<FONT color="green">033</FONT>    <a name="line.33"></a>
<FONT color="green">034</FONT>    /**<a name="line.34"></a>
<FONT color="green">035</FONT>     * A collection of static methods that operate on or return matrices.<a name="line.35"></a>
<FONT color="green">036</FONT>     *<a name="line.36"></a>
<FONT color="green">037</FONT>     * @version $Revision: 983921 $ $Date: 2010-08-10 12:46:06 +0200 (mar. 10 ao??t 2010) $<a name="line.37"></a>
<FONT color="green">038</FONT>     */<a name="line.38"></a>
<FONT color="green">039</FONT>    public class MatrixUtils {<a name="line.39"></a>
<FONT color="green">040</FONT>    <a name="line.40"></a>
<FONT color="green">041</FONT>        /**<a name="line.41"></a>
<FONT color="green">042</FONT>         * Private constructor.<a name="line.42"></a>
<FONT color="green">043</FONT>         */<a name="line.43"></a>
<FONT color="green">044</FONT>        private MatrixUtils() {<a name="line.44"></a>
<FONT color="green">045</FONT>            super();<a name="line.45"></a>
<FONT color="green">046</FONT>        }<a name="line.46"></a>
<FONT color="green">047</FONT>    <a name="line.47"></a>
<FONT color="green">048</FONT>        /**<a name="line.48"></a>
<FONT color="green">049</FONT>         * Returns a {@link RealMatrix} with specified dimensions.<a name="line.49"></a>
<FONT color="green">050</FONT>         * &lt;p&gt;The type of matrix returned depends on the dimension. Below<a name="line.50"></a>
<FONT color="green">051</FONT>         * 2&lt;sup&gt;12&lt;/sup&gt; elements (i.e. 4096 elements or 64&amp;times;64 for a<a name="line.51"></a>
<FONT color="green">052</FONT>         * square matrix) which can be stored in a 32kB array, a {@link<a name="line.52"></a>
<FONT color="green">053</FONT>         * Array2DRowRealMatrix} instance is built. Above this threshold a {@link<a name="line.53"></a>
<FONT color="green">054</FONT>         * BlockRealMatrix} instance is built.&lt;/p&gt;<a name="line.54"></a>
<FONT color="green">055</FONT>         * &lt;p&gt;The matrix elements are all set to 0.0.&lt;/p&gt;<a name="line.55"></a>
<FONT color="green">056</FONT>         * @param rows number of rows of the matrix<a name="line.56"></a>
<FONT color="green">057</FONT>         * @param columns number of columns of the matrix<a name="line.57"></a>
<FONT color="green">058</FONT>         * @return  RealMatrix with specified dimensions<a name="line.58"></a>
<FONT color="green">059</FONT>         * @see #createRealMatrix(double[][])<a name="line.59"></a>
<FONT color="green">060</FONT>         */<a name="line.60"></a>
<FONT color="green">061</FONT>        public static RealMatrix createRealMatrix(final int rows, final int columns) {<a name="line.61"></a>
<FONT color="green">062</FONT>            return (rows * columns &lt;= 4096) ?<a name="line.62"></a>
<FONT color="green">063</FONT>                    new Array2DRowRealMatrix(rows, columns) : new BlockRealMatrix(rows, columns);<a name="line.63"></a>
<FONT color="green">064</FONT>        }<a name="line.64"></a>
<FONT color="green">065</FONT>    <a name="line.65"></a>
<FONT color="green">066</FONT>        /**<a name="line.66"></a>
<FONT color="green">067</FONT>         * Returns a {@link FieldMatrix} with specified dimensions.<a name="line.67"></a>
<FONT color="green">068</FONT>         * &lt;p&gt;The type of matrix returned depends on the dimension. Below<a name="line.68"></a>
<FONT color="green">069</FONT>         * 2&lt;sup&gt;12&lt;/sup&gt; elements (i.e. 4096 elements or 64&amp;times;64 for a<a name="line.69"></a>
<FONT color="green">070</FONT>         * square matrix), a {@link FieldMatrix} instance is built. Above<a name="line.70"></a>
<FONT color="green">071</FONT>         * this threshold a {@link BlockFieldMatrix} instance is built.&lt;/p&gt;<a name="line.71"></a>
<FONT color="green">072</FONT>         * &lt;p&gt;The matrix elements are all set to field.getZero().&lt;/p&gt;<a name="line.72"></a>
<FONT color="green">073</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.73"></a>
<FONT color="green">074</FONT>         * @param field field to which the matrix elements belong<a name="line.74"></a>
<FONT color="green">075</FONT>         * @param rows number of rows of the matrix<a name="line.75"></a>
<FONT color="green">076</FONT>         * @param columns number of columns of the matrix<a name="line.76"></a>
<FONT color="green">077</FONT>         * @return  FieldMatrix with specified dimensions<a name="line.77"></a>
<FONT color="green">078</FONT>         * @see #createFieldMatrix(FieldElement[][])<a name="line.78"></a>
<FONT color="green">079</FONT>         * @since 2.0<a name="line.79"></a>
<FONT color="green">080</FONT>         */<a name="line.80"></a>
<FONT color="green">081</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt; createFieldMatrix(final Field&lt;T&gt; field,<a name="line.81"></a>
<FONT color="green">082</FONT>                                                                                   final int rows,<a name="line.82"></a>
<FONT color="green">083</FONT>                                                                                   final int columns) {<a name="line.83"></a>
<FONT color="green">084</FONT>            return (rows * columns &lt;= 4096) ?<a name="line.84"></a>
<FONT color="green">085</FONT>                    new Array2DRowFieldMatrix&lt;T&gt;(field, rows, columns) : new BlockFieldMatrix&lt;T&gt;(field, rows, columns);<a name="line.85"></a>
<FONT color="green">086</FONT>        }<a name="line.86"></a>
<FONT color="green">087</FONT>    <a name="line.87"></a>
<FONT color="green">088</FONT>        /**<a name="line.88"></a>
<FONT color="green">089</FONT>         * Returns a {@link RealMatrix} whose entries are the the values in the<a name="line.89"></a>
<FONT color="green">090</FONT>         * the input array.<a name="line.90"></a>
<FONT color="green">091</FONT>         * &lt;p&gt;The type of matrix returned depends on the dimension. Below<a name="line.91"></a>
<FONT color="green">092</FONT>         * 2&lt;sup&gt;12&lt;/sup&gt; elements (i.e. 4096 elements or 64&amp;times;64 for a<a name="line.92"></a>
<FONT color="green">093</FONT>         * square matrix) which can be stored in a 32kB array, a {@link<a name="line.93"></a>
<FONT color="green">094</FONT>         * Array2DRowRealMatrix} instance is built. Above this threshold a {@link<a name="line.94"></a>
<FONT color="green">095</FONT>         * BlockRealMatrix} instance is built.&lt;/p&gt;<a name="line.95"></a>
<FONT color="green">096</FONT>         * &lt;p&gt;The input array is copied, not referenced.&lt;/p&gt;<a name="line.96"></a>
<FONT color="green">097</FONT>         *<a name="line.97"></a>
<FONT color="green">098</FONT>         * @param data input array<a name="line.98"></a>
<FONT color="green">099</FONT>         * @return  RealMatrix containing the values of the array<a name="line.99"></a>
<FONT color="green">100</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.100"></a>
<FONT color="green">101</FONT>         *  (not all rows have the same length) or empty<a name="line.101"></a>
<FONT color="green">102</FONT>         * @throws NullPointerException if either &lt;code&gt;data&lt;/code&gt; or<a name="line.102"></a>
<FONT color="green">103</FONT>         * &lt;code&gt;data[0]&lt;/code&gt; is null<a name="line.103"></a>
<FONT color="green">104</FONT>         * @see #createRealMatrix(int, int)<a name="line.104"></a>
<FONT color="green">105</FONT>         */<a name="line.105"></a>
<FONT color="green">106</FONT>        public static RealMatrix createRealMatrix(double[][] data) {<a name="line.106"></a>
<FONT color="green">107</FONT>            return (data.length * data[0].length &lt;= 4096) ?<a name="line.107"></a>
<FONT color="green">108</FONT>                    new Array2DRowRealMatrix(data) : new BlockRealMatrix(data);<a name="line.108"></a>
<FONT color="green">109</FONT>        }<a name="line.109"></a>
<FONT color="green">110</FONT>    <a name="line.110"></a>
<FONT color="green">111</FONT>        /**<a name="line.111"></a>
<FONT color="green">112</FONT>         * Returns a {@link FieldMatrix} whose entries are the the values in the<a name="line.112"></a>
<FONT color="green">113</FONT>         * the input array.<a name="line.113"></a>
<FONT color="green">114</FONT>         * &lt;p&gt;The type of matrix returned depends on the dimension. Below<a name="line.114"></a>
<FONT color="green">115</FONT>         * 2&lt;sup&gt;12&lt;/sup&gt; elements (i.e. 4096 elements or 64&amp;times;64 for a<a name="line.115"></a>
<FONT color="green">116</FONT>         * square matrix), a {@link FieldMatrix} instance is built. Above<a name="line.116"></a>
<FONT color="green">117</FONT>         * this threshold a {@link BlockFieldMatrix} instance is built.&lt;/p&gt;<a name="line.117"></a>
<FONT color="green">118</FONT>         * &lt;p&gt;The input array is copied, not referenced.&lt;/p&gt;<a name="line.118"></a>
<FONT color="green">119</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.119"></a>
<FONT color="green">120</FONT>         * @param data input array<a name="line.120"></a>
<FONT color="green">121</FONT>         * @return  RealMatrix containing the values of the array<a name="line.121"></a>
<FONT color="green">122</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.122"></a>
<FONT color="green">123</FONT>         *  (not all rows have the same length) or empty<a name="line.123"></a>
<FONT color="green">124</FONT>         * @throws NullPointerException if either &lt;code&gt;data&lt;/code&gt; or<a name="line.124"></a>
<FONT color="green">125</FONT>         * &lt;code&gt;data[0]&lt;/code&gt; is null<a name="line.125"></a>
<FONT color="green">126</FONT>         * @see #createFieldMatrix(Field, int, int)<a name="line.126"></a>
<FONT color="green">127</FONT>         * @since 2.0<a name="line.127"></a>
<FONT color="green">128</FONT>         */<a name="line.128"></a>
<FONT color="green">129</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt; createFieldMatrix(T[][] data) {<a name="line.129"></a>
<FONT color="green">130</FONT>            return (data.length * data[0].length &lt;= 4096) ?<a name="line.130"></a>
<FONT color="green">131</FONT>                    new Array2DRowFieldMatrix&lt;T&gt;(data) : new BlockFieldMatrix&lt;T&gt;(data);<a name="line.131"></a>
<FONT color="green">132</FONT>        }<a name="line.132"></a>
<FONT color="green">133</FONT>    <a name="line.133"></a>
<FONT color="green">134</FONT>        /**<a name="line.134"></a>
<FONT color="green">135</FONT>         * Returns &lt;code&gt;dimension x dimension&lt;/code&gt; identity matrix.<a name="line.135"></a>
<FONT color="green">136</FONT>         *<a name="line.136"></a>
<FONT color="green">137</FONT>         * @param dimension dimension of identity matrix to generate<a name="line.137"></a>
<FONT color="green">138</FONT>         * @return identity matrix<a name="line.138"></a>
<FONT color="green">139</FONT>         * @throws IllegalArgumentException if dimension is not positive<a name="line.139"></a>
<FONT color="green">140</FONT>         * @since 1.1<a name="line.140"></a>
<FONT color="green">141</FONT>         */<a name="line.141"></a>
<FONT color="green">142</FONT>        public static RealMatrix createRealIdentityMatrix(int dimension) {<a name="line.142"></a>
<FONT color="green">143</FONT>            final RealMatrix m = createRealMatrix(dimension, dimension);<a name="line.143"></a>
<FONT color="green">144</FONT>            for (int i = 0; i &lt; dimension; ++i) {<a name="line.144"></a>
<FONT color="green">145</FONT>                m.setEntry(i, i, 1.0);<a name="line.145"></a>
<FONT color="green">146</FONT>            }<a name="line.146"></a>
<FONT color="green">147</FONT>            return m;<a name="line.147"></a>
<FONT color="green">148</FONT>        }<a name="line.148"></a>
<FONT color="green">149</FONT>    <a name="line.149"></a>
<FONT color="green">150</FONT>        /**<a name="line.150"></a>
<FONT color="green">151</FONT>         * Returns &lt;code&gt;dimension x dimension&lt;/code&gt; identity matrix.<a name="line.151"></a>
<FONT color="green">152</FONT>         *<a name="line.152"></a>
<FONT color="green">153</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.153"></a>
<FONT color="green">154</FONT>         * @param field field to which the elements belong<a name="line.154"></a>
<FONT color="green">155</FONT>         * @param dimension dimension of identity matrix to generate<a name="line.155"></a>
<FONT color="green">156</FONT>         * @return identity matrix<a name="line.156"></a>
<FONT color="green">157</FONT>         * @throws IllegalArgumentException if dimension is not positive<a name="line.157"></a>
<FONT color="green">158</FONT>         * @since 2.0<a name="line.158"></a>
<FONT color="green">159</FONT>         */<a name="line.159"></a>
<FONT color="green">160</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt;<a name="line.160"></a>
<FONT color="green">161</FONT>            createFieldIdentityMatrix(final Field&lt;T&gt; field, final int dimension) {<a name="line.161"></a>
<FONT color="green">162</FONT>            final T zero = field.getZero();<a name="line.162"></a>
<FONT color="green">163</FONT>            final T one  = field.getOne();<a name="line.163"></a>
<FONT color="green">164</FONT>            @SuppressWarnings("unchecked") // zero is type T<a name="line.164"></a>
<FONT color="green">165</FONT>            final T[][] d = (T[][]) Array.newInstance(zero.getClass(), new int[] { dimension, dimension });<a name="line.165"></a>
<FONT color="green">166</FONT>            for (int row = 0; row &lt; dimension; row++) {<a name="line.166"></a>
<FONT color="green">167</FONT>                final T[] dRow = d[row];<a name="line.167"></a>
<FONT color="green">168</FONT>                Arrays.fill(dRow, zero);<a name="line.168"></a>
<FONT color="green">169</FONT>                dRow[row] = one;<a name="line.169"></a>
<FONT color="green">170</FONT>            }<a name="line.170"></a>
<FONT color="green">171</FONT>            return new Array2DRowFieldMatrix&lt;T&gt;(d, false);<a name="line.171"></a>
<FONT color="green">172</FONT>        }<a name="line.172"></a>
<FONT color="green">173</FONT>    <a name="line.173"></a>
<FONT color="green">174</FONT>        /**<a name="line.174"></a>
<FONT color="green">175</FONT>         * Returns &lt;code&gt;dimension x dimension&lt;/code&gt; identity matrix.<a name="line.175"></a>
<FONT color="green">176</FONT>         *<a name="line.176"></a>
<FONT color="green">177</FONT>         * @param dimension dimension of identity matrix to generate<a name="line.177"></a>
<FONT color="green">178</FONT>         * @return identity matrix<a name="line.178"></a>
<FONT color="green">179</FONT>         * @throws IllegalArgumentException if dimension is not positive<a name="line.179"></a>
<FONT color="green">180</FONT>         * @since 1.1<a name="line.180"></a>
<FONT color="green">181</FONT>         * @deprecated since 2.0, replaced by {@link #createFieldIdentityMatrix(Field, int)}<a name="line.181"></a>
<FONT color="green">182</FONT>         */<a name="line.182"></a>
<FONT color="green">183</FONT>        @Deprecated<a name="line.183"></a>
<FONT color="green">184</FONT>        public static BigMatrix createBigIdentityMatrix(int dimension) {<a name="line.184"></a>
<FONT color="green">185</FONT>            final BigDecimal[][] d = new BigDecimal[dimension][dimension];<a name="line.185"></a>
<FONT color="green">186</FONT>            for (int row = 0; row &lt; dimension; row++) {<a name="line.186"></a>
<FONT color="green">187</FONT>                final BigDecimal[] dRow = d[row];<a name="line.187"></a>
<FONT color="green">188</FONT>                Arrays.fill(dRow, BigMatrixImpl.ZERO);<a name="line.188"></a>
<FONT color="green">189</FONT>                dRow[row] = BigMatrixImpl.ONE;<a name="line.189"></a>
<FONT color="green">190</FONT>            }<a name="line.190"></a>
<FONT color="green">191</FONT>            return new BigMatrixImpl(d, false);<a name="line.191"></a>
<FONT color="green">192</FONT>        }<a name="line.192"></a>
<FONT color="green">193</FONT>    <a name="line.193"></a>
<FONT color="green">194</FONT>        /**<a name="line.194"></a>
<FONT color="green">195</FONT>         * Returns a diagonal matrix with specified elements.<a name="line.195"></a>
<FONT color="green">196</FONT>         *<a name="line.196"></a>
<FONT color="green">197</FONT>         * @param diagonal diagonal elements of the matrix (the array elements<a name="line.197"></a>
<FONT color="green">198</FONT>         * will be copied)<a name="line.198"></a>
<FONT color="green">199</FONT>         * @return diagonal matrix<a name="line.199"></a>
<FONT color="green">200</FONT>         * @since 2.0<a name="line.200"></a>
<FONT color="green">201</FONT>         */<a name="line.201"></a>
<FONT color="green">202</FONT>        public static RealMatrix createRealDiagonalMatrix(final double[] diagonal) {<a name="line.202"></a>
<FONT color="green">203</FONT>            final RealMatrix m = createRealMatrix(diagonal.length, diagonal.length);<a name="line.203"></a>
<FONT color="green">204</FONT>            for (int i = 0; i &lt; diagonal.length; ++i) {<a name="line.204"></a>
<FONT color="green">205</FONT>                m.setEntry(i, i, diagonal[i]);<a name="line.205"></a>
<FONT color="green">206</FONT>            }<a name="line.206"></a>
<FONT color="green">207</FONT>            return m;<a name="line.207"></a>
<FONT color="green">208</FONT>        }<a name="line.208"></a>
<FONT color="green">209</FONT>    <a name="line.209"></a>
<FONT color="green">210</FONT>        /**<a name="line.210"></a>
<FONT color="green">211</FONT>         * Returns a diagonal matrix with specified elements.<a name="line.211"></a>
<FONT color="green">212</FONT>         *<a name="line.212"></a>
<FONT color="green">213</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.213"></a>
<FONT color="green">214</FONT>         * @param diagonal diagonal elements of the matrix (the array elements<a name="line.214"></a>
<FONT color="green">215</FONT>         * will be copied)<a name="line.215"></a>
<FONT color="green">216</FONT>         * @return diagonal matrix<a name="line.216"></a>
<FONT color="green">217</FONT>         * @since 2.0<a name="line.217"></a>
<FONT color="green">218</FONT>         */<a name="line.218"></a>
<FONT color="green">219</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt;<a name="line.219"></a>
<FONT color="green">220</FONT>            createFieldDiagonalMatrix(final T[] diagonal) {<a name="line.220"></a>
<FONT color="green">221</FONT>            final FieldMatrix&lt;T&gt; m =<a name="line.221"></a>
<FONT color="green">222</FONT>                createFieldMatrix(diagonal[0].getField(), diagonal.length, diagonal.length);<a name="line.222"></a>
<FONT color="green">223</FONT>            for (int i = 0; i &lt; diagonal.length; ++i) {<a name="line.223"></a>
<FONT color="green">224</FONT>                m.setEntry(i, i, diagonal[i]);<a name="line.224"></a>
<FONT color="green">225</FONT>            }<a name="line.225"></a>
<FONT color="green">226</FONT>            return m;<a name="line.226"></a>
<FONT color="green">227</FONT>        }<a name="line.227"></a>
<FONT color="green">228</FONT>    <a name="line.228"></a>
<FONT color="green">229</FONT>        /**<a name="line.229"></a>
<FONT color="green">230</FONT>         * Returns a {@link BigMatrix} whose entries are the the values in the<a name="line.230"></a>
<FONT color="green">231</FONT>         * the input array.  The input array is copied, not referenced.<a name="line.231"></a>
<FONT color="green">232</FONT>         *<a name="line.232"></a>
<FONT color="green">233</FONT>         * @param data input array<a name="line.233"></a>
<FONT color="green">234</FONT>         * @return  RealMatrix containing the values of the array<a name="line.234"></a>
<FONT color="green">235</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.235"></a>
<FONT color="green">236</FONT>         *  (not all rows have the same length) or empty<a name="line.236"></a>
<FONT color="green">237</FONT>         * @throws NullPointerException if data is null<a name="line.237"></a>
<FONT color="green">238</FONT>         * @deprecated since 2.0 replaced by {@link #createFieldMatrix(FieldElement[][])}<a name="line.238"></a>
<FONT color="green">239</FONT>         */<a name="line.239"></a>
<FONT color="green">240</FONT>        @Deprecated<a name="line.240"></a>
<FONT color="green">241</FONT>        public static BigMatrix createBigMatrix(double[][] data) {<a name="line.241"></a>
<FONT color="green">242</FONT>            return new BigMatrixImpl(data);<a name="line.242"></a>
<FONT color="green">243</FONT>        }<a name="line.243"></a>
<FONT color="green">244</FONT>    <a name="line.244"></a>
<FONT color="green">245</FONT>        /**<a name="line.245"></a>
<FONT color="green">246</FONT>         * Returns a {@link BigMatrix} whose entries are the the values in the<a name="line.246"></a>
<FONT color="green">247</FONT>         * the input array.  The input array is copied, not referenced.<a name="line.247"></a>
<FONT color="green">248</FONT>         *<a name="line.248"></a>
<FONT color="green">249</FONT>         * @param data input array<a name="line.249"></a>
<FONT color="green">250</FONT>         * @return  RealMatrix containing the values of the array<a name="line.250"></a>
<FONT color="green">251</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.251"></a>
<FONT color="green">252</FONT>         *  (not all rows have the same length) or empty<a name="line.252"></a>
<FONT color="green">253</FONT>         * @throws NullPointerException if data is null<a name="line.253"></a>
<FONT color="green">254</FONT>         * @deprecated since 2.0 replaced by {@link #createFieldMatrix(FieldElement[][])}<a name="line.254"></a>
<FONT color="green">255</FONT>         */<a name="line.255"></a>
<FONT color="green">256</FONT>        @Deprecated<a name="line.256"></a>
<FONT color="green">257</FONT>        public static BigMatrix createBigMatrix(BigDecimal[][] data) {<a name="line.257"></a>
<FONT color="green">258</FONT>            return new BigMatrixImpl(data);<a name="line.258"></a>
<FONT color="green">259</FONT>        }<a name="line.259"></a>
<FONT color="green">260</FONT>    <a name="line.260"></a>
<FONT color="green">261</FONT>        /**<a name="line.261"></a>
<FONT color="green">262</FONT>         * Returns a {@link BigMatrix} whose entries are the the values in the<a name="line.262"></a>
<FONT color="green">263</FONT>         * the input array.<a name="line.263"></a>
<FONT color="green">264</FONT>         * &lt;p&gt;If an array is built specially in order to be embedded in a<a name="line.264"></a>
<FONT color="green">265</FONT>         * BigMatrix and not used directly, the &lt;code&gt;copyArray&lt;/code&gt; may be<a name="line.265"></a>
<FONT color="green">266</FONT>         * set to &lt;code&gt;false&lt;/code. This will prevent the copying and improve<a name="line.266"></a>
<FONT color="green">267</FONT>         * performance as no new array will be built and no data will be copied.&lt;/p&gt;<a name="line.267"></a>
<FONT color="green">268</FONT>         * @param data data for new matrix<a name="line.268"></a>
<FONT color="green">269</FONT>         * @param copyArray if true, the input array will be copied, otherwise<a name="line.269"></a>
<FONT color="green">270</FONT>         * it will be referenced<a name="line.270"></a>
<FONT color="green">271</FONT>         * @return  BigMatrix containing the values of the array<a name="line.271"></a>
<FONT color="green">272</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.272"></a>
<FONT color="green">273</FONT>         *  (not all rows have the same length) or empty<a name="line.273"></a>
<FONT color="green">274</FONT>         * @throws NullPointerException if &lt;code&gt;data&lt;/code&gt; is null<a name="line.274"></a>
<FONT color="green">275</FONT>         * @see #createRealMatrix(double[][])<a name="line.275"></a>
<FONT color="green">276</FONT>         * @deprecated since 2.0 replaced by {@link #createFieldMatrix(FieldElement[][])}<a name="line.276"></a>
<FONT color="green">277</FONT>         */<a name="line.277"></a>
<FONT color="green">278</FONT>        @Deprecated<a name="line.278"></a>
<FONT color="green">279</FONT>        public static BigMatrix createBigMatrix(BigDecimal[][] data, boolean copyArray) {<a name="line.279"></a>
<FONT color="green">280</FONT>            return new BigMatrixImpl(data, copyArray);<a name="line.280"></a>
<FONT color="green">281</FONT>        }<a name="line.281"></a>
<FONT color="green">282</FONT>    <a name="line.282"></a>
<FONT color="green">283</FONT>        /**<a name="line.283"></a>
<FONT color="green">284</FONT>         * Returns a {@link BigMatrix} whose entries are the the values in the<a name="line.284"></a>
<FONT color="green">285</FONT>         * the input array.  The input array is copied, not referenced.<a name="line.285"></a>
<FONT color="green">286</FONT>         *<a name="line.286"></a>
<FONT color="green">287</FONT>         * @param data input array<a name="line.287"></a>
<FONT color="green">288</FONT>         * @return  RealMatrix containing the values of the array<a name="line.288"></a>
<FONT color="green">289</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is not rectangular<a name="line.289"></a>
<FONT color="green">290</FONT>         *  (not all rows have the same length) or empty<a name="line.290"></a>
<FONT color="green">291</FONT>         * @throws NullPointerException if data is null<a name="line.291"></a>
<FONT color="green">292</FONT>         * @deprecated since 2.0 replaced by {@link #createFieldMatrix(FieldElement[][])}<a name="line.292"></a>
<FONT color="green">293</FONT>         */<a name="line.293"></a>
<FONT color="green">294</FONT>        @Deprecated<a name="line.294"></a>
<FONT color="green">295</FONT>        public static BigMatrix createBigMatrix(String[][] data) {<a name="line.295"></a>
<FONT color="green">296</FONT>            return new BigMatrixImpl(data);<a name="line.296"></a>
<FONT color="green">297</FONT>        }<a name="line.297"></a>
<FONT color="green">298</FONT>    <a name="line.298"></a>
<FONT color="green">299</FONT>        /**<a name="line.299"></a>
<FONT color="green">300</FONT>         * Creates a {@link RealVector} using the data from the input array.<a name="line.300"></a>
<FONT color="green">301</FONT>         *<a name="line.301"></a>
<FONT color="green">302</FONT>         * @param data the input data<a name="line.302"></a>
<FONT color="green">303</FONT>         * @return a data.length RealVector<a name="line.303"></a>
<FONT color="green">304</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is empty<a name="line.304"></a>
<FONT color="green">305</FONT>         * @throws NullPointerException if &lt;code&gt;data&lt;/code&gt;is null<a name="line.305"></a>
<FONT color="green">306</FONT>         */<a name="line.306"></a>
<FONT color="green">307</FONT>        public static RealVector createRealVector(double[] data) {<a name="line.307"></a>
<FONT color="green">308</FONT>            return new ArrayRealVector(data, true);<a name="line.308"></a>
<FONT color="green">309</FONT>        }<a name="line.309"></a>
<FONT color="green">310</FONT>    <a name="line.310"></a>
<FONT color="green">311</FONT>        /**<a name="line.311"></a>
<FONT color="green">312</FONT>         * Creates a {@link FieldVector} using the data from the input array.<a name="line.312"></a>
<FONT color="green">313</FONT>         *<a name="line.313"></a>
<FONT color="green">314</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.314"></a>
<FONT color="green">315</FONT>         * @param data the input data<a name="line.315"></a>
<FONT color="green">316</FONT>         * @return a data.length FieldVector<a name="line.316"></a>
<FONT color="green">317</FONT>         * @throws IllegalArgumentException if &lt;code&gt;data&lt;/code&gt; is empty<a name="line.317"></a>
<FONT color="green">318</FONT>         * @throws NullPointerException if &lt;code&gt;data&lt;/code&gt;is null<a name="line.318"></a>
<FONT color="green">319</FONT>         */<a name="line.319"></a>
<FONT color="green">320</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldVector&lt;T&gt; createFieldVector(final T[] data) {<a name="line.320"></a>
<FONT color="green">321</FONT>            return new ArrayFieldVector&lt;T&gt;(data, true);<a name="line.321"></a>
<FONT color="green">322</FONT>        }<a name="line.322"></a>
<FONT color="green">323</FONT>    <a name="line.323"></a>
<FONT color="green">324</FONT>        /**<a name="line.324"></a>
<FONT color="green">325</FONT>         * Creates a row {@link RealMatrix} using the data from the input<a name="line.325"></a>
<FONT color="green">326</FONT>         * array.<a name="line.326"></a>
<FONT color="green">327</FONT>         *<a name="line.327"></a>
<FONT color="green">328</FONT>         * @param rowData the input row data<a name="line.328"></a>
<FONT color="green">329</FONT>         * @return a 1 x rowData.length RealMatrix<a name="line.329"></a>
<FONT color="green">330</FONT>         * @throws IllegalArgumentException if &lt;code&gt;rowData&lt;/code&gt; is empty<a name="line.330"></a>
<FONT color="green">331</FONT>         * @throws NullPointerException if &lt;code&gt;rowData&lt;/code&gt;is null<a name="line.331"></a>
<FONT color="green">332</FONT>         */<a name="line.332"></a>
<FONT color="green">333</FONT>        public static RealMatrix createRowRealMatrix(double[] rowData) {<a name="line.333"></a>
<FONT color="green">334</FONT>            final int nCols = rowData.length;<a name="line.334"></a>
<FONT color="green">335</FONT>            final RealMatrix m = createRealMatrix(1, nCols);<a name="line.335"></a>
<FONT color="green">336</FONT>            for (int i = 0; i &lt; nCols; ++i) {<a name="line.336"></a>
<FONT color="green">337</FONT>                m.setEntry(0, i, rowData[i]);<a name="line.337"></a>
<FONT color="green">338</FONT>            }<a name="line.338"></a>
<FONT color="green">339</FONT>            return m;<a name="line.339"></a>
<FONT color="green">340</FONT>        }<a name="line.340"></a>
<FONT color="green">341</FONT>    <a name="line.341"></a>
<FONT color="green">342</FONT>        /**<a name="line.342"></a>
<FONT color="green">343</FONT>         * Creates a row {@link FieldMatrix} using the data from the input<a name="line.343"></a>
<FONT color="green">344</FONT>         * array.<a name="line.344"></a>
<FONT color="green">345</FONT>         *<a name="line.345"></a>
<FONT color="green">346</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.346"></a>
<FONT color="green">347</FONT>         * @param rowData the input row data<a name="line.347"></a>
<FONT color="green">348</FONT>         * @return a 1 x rowData.length FieldMatrix<a name="line.348"></a>
<FONT color="green">349</FONT>         * @throws IllegalArgumentException if &lt;code&gt;rowData&lt;/code&gt; is empty<a name="line.349"></a>
<FONT color="green">350</FONT>         * @throws NullPointerException if &lt;code&gt;rowData&lt;/code&gt;is null<a name="line.350"></a>
<FONT color="green">351</FONT>         */<a name="line.351"></a>
<FONT color="green">352</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt;<a name="line.352"></a>
<FONT color="green">353</FONT>            createRowFieldMatrix(final T[] rowData) {<a name="line.353"></a>
<FONT color="green">354</FONT>            final int nCols = rowData.length;<a name="line.354"></a>
<FONT color="green">355</FONT>            if (nCols == 0) {<a name="line.355"></a>
<FONT color="green">356</FONT>                throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_COLUMN);<a name="line.356"></a>
<FONT color="green">357</FONT>            }<a name="line.357"></a>
<FONT color="green">358</FONT>            final FieldMatrix&lt;T&gt; m = createFieldMatrix(rowData[0].getField(), 1, nCols);<a name="line.358"></a>
<FONT color="green">359</FONT>            for (int i = 0; i &lt; nCols; ++i) {<a name="line.359"></a>
<FONT color="green">360</FONT>                m.setEntry(0, i, rowData[i]);<a name="line.360"></a>
<FONT color="green">361</FONT>            }<a name="line.361"></a>
<FONT color="green">362</FONT>            return m;<a name="line.362"></a>
<FONT color="green">363</FONT>        }<a name="line.363"></a>
<FONT color="green">364</FONT>    <a name="line.364"></a>
<FONT color="green">365</FONT>        /**<a name="line.365"></a>
<FONT color="green">366</FONT>         * Creates a row {@link BigMatrix} using the data from the input<a name="line.366"></a>
<FONT color="green">367</FONT>         * array.<a name="line.367"></a>
<FONT color="green">368</FONT>         *<a name="line.368"></a>
<FONT color="green">369</FONT>         * @param rowData the input row data<a name="line.369"></a>
<FONT color="green">370</FONT>         * @return a 1 x rowData.length BigMatrix<a name="line.370"></a>
<FONT color="green">371</FONT>         * @throws IllegalArgumentException if &lt;code&gt;rowData&lt;/code&gt; is empty<a name="line.371"></a>
<FONT color="green">372</FONT>         * @throws NullPointerException if &lt;code&gt;rowData&lt;/code&gt;is null<a name="line.372"></a>
<FONT color="green">373</FONT>         * @deprecated since 2.0 replaced by {@link #createRowFieldMatrix(FieldElement[])}<a name="line.373"></a>
<FONT color="green">374</FONT>         */<a name="line.374"></a>
<FONT color="green">375</FONT>        @Deprecated<a name="line.375"></a>
<FONT color="green">376</FONT>        public static BigMatrix createRowBigMatrix(double[] rowData) {<a name="line.376"></a>
<FONT color="green">377</FONT>            final int nCols = rowData.length;<a name="line.377"></a>
<FONT color="green">378</FONT>            final BigDecimal[][] data = new BigDecimal[1][nCols];<a name="line.378"></a>
<FONT color="green">379</FONT>            for (int i = 0; i &lt; nCols; ++i) {<a name="line.379"></a>
<FONT color="green">380</FONT>                data[0][i] = new BigDecimal(rowData[i]);<a name="line.380"></a>
<FONT color="green">381</FONT>            }<a name="line.381"></a>
<FONT color="green">382</FONT>            return new BigMatrixImpl(data, false);<a name="line.382"></a>
<FONT color="green">383</FONT>        }<a name="line.383"></a>
<FONT color="green">384</FONT>    <a name="line.384"></a>
<FONT color="green">385</FONT>        /**<a name="line.385"></a>
<FONT color="green">386</FONT>         * Creates a row {@link BigMatrix} using the data from the input<a name="line.386"></a>
<FONT color="green">387</FONT>         * array.<a name="line.387"></a>
<FONT color="green">388</FONT>         *<a name="line.388"></a>
<FONT color="green">389</FONT>         * @param rowData the input row data<a name="line.389"></a>
<FONT color="green">390</FONT>         * @return a 1 x rowData.length BigMatrix<a name="line.390"></a>
<FONT color="green">391</FONT>         * @throws IllegalArgumentException if &lt;code&gt;rowData&lt;/code&gt; is empty<a name="line.391"></a>
<FONT color="green">392</FONT>         * @throws NullPointerException if &lt;code&gt;rowData&lt;/code&gt;is null<a name="line.392"></a>
<FONT color="green">393</FONT>         * @deprecated since 2.0 replaced by {@link #createRowFieldMatrix(FieldElement[])}<a name="line.393"></a>
<FONT color="green">394</FONT>         */<a name="line.394"></a>
<FONT color="green">395</FONT>        @Deprecated<a name="line.395"></a>
<FONT color="green">396</FONT>        public static BigMatrix createRowBigMatrix(BigDecimal[] rowData) {<a name="line.396"></a>
<FONT color="green">397</FONT>            final int nCols = rowData.length;<a name="line.397"></a>
<FONT color="green">398</FONT>            final BigDecimal[][] data = new BigDecimal[1][nCols];<a name="line.398"></a>
<FONT color="green">399</FONT>            System.arraycopy(rowData, 0, data[0], 0, nCols);<a name="line.399"></a>
<FONT color="green">400</FONT>            return new BigMatrixImpl(data, false);<a name="line.400"></a>
<FONT color="green">401</FONT>        }<a name="line.401"></a>
<FONT color="green">402</FONT>    <a name="line.402"></a>
<FONT color="green">403</FONT>        /**<a name="line.403"></a>
<FONT color="green">404</FONT>         * Creates a row {@link BigMatrix} using the data from the input<a name="line.404"></a>
<FONT color="green">405</FONT>         * array.<a name="line.405"></a>
<FONT color="green">406</FONT>         *<a name="line.406"></a>
<FONT color="green">407</FONT>         * @param rowData the input row data<a name="line.407"></a>
<FONT color="green">408</FONT>         * @return a 1 x rowData.length BigMatrix<a name="line.408"></a>
<FONT color="green">409</FONT>         * @throws IllegalArgumentException if &lt;code&gt;rowData&lt;/code&gt; is empty<a name="line.409"></a>
<FONT color="green">410</FONT>         * @throws NullPointerException if &lt;code&gt;rowData&lt;/code&gt;is null<a name="line.410"></a>
<FONT color="green">411</FONT>         * @deprecated since 2.0 replaced by {@link #createRowFieldMatrix(FieldElement[])}<a name="line.411"></a>
<FONT color="green">412</FONT>         */<a name="line.412"></a>
<FONT color="green">413</FONT>        @Deprecated<a name="line.413"></a>
<FONT color="green">414</FONT>        public static BigMatrix createRowBigMatrix(String[] rowData) {<a name="line.414"></a>
<FONT color="green">415</FONT>            final int nCols = rowData.length;<a name="line.415"></a>
<FONT color="green">416</FONT>            final BigDecimal[][] data = new BigDecimal[1][nCols];<a name="line.416"></a>
<FONT color="green">417</FONT>            for (int i = 0; i &lt; nCols; ++i) {<a name="line.417"></a>
<FONT color="green">418</FONT>                data[0][i] = new BigDecimal(rowData[i]);<a name="line.418"></a>
<FONT color="green">419</FONT>            }<a name="line.419"></a>
<FONT color="green">420</FONT>            return new BigMatrixImpl(data, false);<a name="line.420"></a>
<FONT color="green">421</FONT>        }<a name="line.421"></a>
<FONT color="green">422</FONT>    <a name="line.422"></a>
<FONT color="green">423</FONT>        /**<a name="line.423"></a>
<FONT color="green">424</FONT>         * Creates a column {@link RealMatrix} using the data from the input<a name="line.424"></a>
<FONT color="green">425</FONT>         * array.<a name="line.425"></a>
<FONT color="green">426</FONT>         *<a name="line.426"></a>
<FONT color="green">427</FONT>         * @param columnData  the input column data<a name="line.427"></a>
<FONT color="green">428</FONT>         * @return a columnData x 1 RealMatrix<a name="line.428"></a>
<FONT color="green">429</FONT>         * @throws IllegalArgumentException if &lt;code&gt;columnData&lt;/code&gt; is empty<a name="line.429"></a>
<FONT color="green">430</FONT>         * @throws NullPointerException if &lt;code&gt;columnData&lt;/code&gt;is null<a name="line.430"></a>
<FONT color="green">431</FONT>         */<a name="line.431"></a>
<FONT color="green">432</FONT>        public static RealMatrix createColumnRealMatrix(double[] columnData) {<a name="line.432"></a>
<FONT color="green">433</FONT>            final int nRows = columnData.length;<a name="line.433"></a>
<FONT color="green">434</FONT>            final RealMatrix m = createRealMatrix(nRows, 1);<a name="line.434"></a>
<FONT color="green">435</FONT>            for (int i = 0; i &lt; nRows; ++i) {<a name="line.435"></a>
<FONT color="green">436</FONT>                m.setEntry(i, 0, columnData[i]);<a name="line.436"></a>
<FONT color="green">437</FONT>            }<a name="line.437"></a>
<FONT color="green">438</FONT>            return m;<a name="line.438"></a>
<FONT color="green">439</FONT>        }<a name="line.439"></a>
<FONT color="green">440</FONT>    <a name="line.440"></a>
<FONT color="green">441</FONT>        /**<a name="line.441"></a>
<FONT color="green">442</FONT>         * Creates a column {@link FieldMatrix} using the data from the input<a name="line.442"></a>
<FONT color="green">443</FONT>         * array.<a name="line.443"></a>
<FONT color="green">444</FONT>         *<a name="line.444"></a>
<FONT color="green">445</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.445"></a>
<FONT color="green">446</FONT>         * @param columnData  the input column data<a name="line.446"></a>
<FONT color="green">447</FONT>         * @return a columnData x 1 FieldMatrix<a name="line.447"></a>
<FONT color="green">448</FONT>         * @throws IllegalArgumentException if &lt;code&gt;columnData&lt;/code&gt; is empty<a name="line.448"></a>
<FONT color="green">449</FONT>         * @throws NullPointerException if &lt;code&gt;columnData&lt;/code&gt;is null<a name="line.449"></a>
<FONT color="green">450</FONT>         */<a name="line.450"></a>
<FONT color="green">451</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; FieldMatrix&lt;T&gt;<a name="line.451"></a>
<FONT color="green">452</FONT>            createColumnFieldMatrix(final T[] columnData) {<a name="line.452"></a>
<FONT color="green">453</FONT>            final int nRows = columnData.length;<a name="line.453"></a>
<FONT color="green">454</FONT>            if (nRows == 0) {<a name="line.454"></a>
<FONT color="green">455</FONT>                throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_ROW);<a name="line.455"></a>
<FONT color="green">456</FONT>            }<a name="line.456"></a>
<FONT color="green">457</FONT>            final FieldMatrix&lt;T&gt; m = createFieldMatrix(columnData[0].getField(), nRows, 1);<a name="line.457"></a>
<FONT color="green">458</FONT>            for (int i = 0; i &lt; nRows; ++i) {<a name="line.458"></a>
<FONT color="green">459</FONT>                m.setEntry(i, 0, columnData[i]);<a name="line.459"></a>
<FONT color="green">460</FONT>            }<a name="line.460"></a>
<FONT color="green">461</FONT>            return m;<a name="line.461"></a>
<FONT color="green">462</FONT>        }<a name="line.462"></a>
<FONT color="green">463</FONT>    <a name="line.463"></a>
<FONT color="green">464</FONT>        /**<a name="line.464"></a>
<FONT color="green">465</FONT>         * Creates a column {@link BigMatrix} using the data from the input<a name="line.465"></a>
<FONT color="green">466</FONT>         * array.<a name="line.466"></a>
<FONT color="green">467</FONT>         *<a name="line.467"></a>
<FONT color="green">468</FONT>         * @param columnData  the input column data<a name="line.468"></a>
<FONT color="green">469</FONT>         * @return a columnData x 1 BigMatrix<a name="line.469"></a>
<FONT color="green">470</FONT>         * @throws IllegalArgumentException if &lt;code&gt;columnData&lt;/code&gt; is empty<a name="line.470"></a>
<FONT color="green">471</FONT>         * @throws NullPointerException if &lt;code&gt;columnData&lt;/code&gt;is null<a name="line.471"></a>
<FONT color="green">472</FONT>         * @deprecated since 2.0 replaced by {@link #createColumnFieldMatrix(FieldElement[])}<a name="line.472"></a>
<FONT color="green">473</FONT>         */<a name="line.473"></a>
<FONT color="green">474</FONT>        @Deprecated<a name="line.474"></a>
<FONT color="green">475</FONT>        public static BigMatrix createColumnBigMatrix(double[] columnData) {<a name="line.475"></a>
<FONT color="green">476</FONT>            final int nRows = columnData.length;<a name="line.476"></a>
<FONT color="green">477</FONT>            final BigDecimal[][] data = new BigDecimal[nRows][1];<a name="line.477"></a>
<FONT color="green">478</FONT>            for (int row = 0; row &lt; nRows; row++) {<a name="line.478"></a>
<FONT color="green">479</FONT>                data[row][0] = new BigDecimal(columnData[row]);<a name="line.479"></a>
<FONT color="green">480</FONT>            }<a name="line.480"></a>
<FONT color="green">481</FONT>            return new BigMatrixImpl(data, false);<a name="line.481"></a>
<FONT color="green">482</FONT>        }<a name="line.482"></a>
<FONT color="green">483</FONT>    <a name="line.483"></a>
<FONT color="green">484</FONT>        /**<a name="line.484"></a>
<FONT color="green">485</FONT>         * Creates a column {@link BigMatrix} using the data from the input<a name="line.485"></a>
<FONT color="green">486</FONT>         * array.<a name="line.486"></a>
<FONT color="green">487</FONT>         *<a name="line.487"></a>
<FONT color="green">488</FONT>         * @param columnData  the input column data<a name="line.488"></a>
<FONT color="green">489</FONT>         * @return a columnData x 1 BigMatrix<a name="line.489"></a>
<FONT color="green">490</FONT>         * @throws IllegalArgumentException if &lt;code&gt;columnData&lt;/code&gt; is empty<a name="line.490"></a>
<FONT color="green">491</FONT>         * @throws NullPointerException if &lt;code&gt;columnData&lt;/code&gt;is null<a name="line.491"></a>
<FONT color="green">492</FONT>         * @deprecated since 2.0 replaced by {@link #createColumnFieldMatrix(FieldElement[])}<a name="line.492"></a>
<FONT color="green">493</FONT>         */<a name="line.493"></a>
<FONT color="green">494</FONT>        @Deprecated<a name="line.494"></a>
<FONT color="green">495</FONT>        public static BigMatrix createColumnBigMatrix(BigDecimal[] columnData) {<a name="line.495"></a>
<FONT color="green">496</FONT>            final int nRows = columnData.length;<a name="line.496"></a>
<FONT color="green">497</FONT>            final BigDecimal[][] data = new BigDecimal[nRows][1];<a name="line.497"></a>
<FONT color="green">498</FONT>            for (int row = 0; row &lt; nRows; row++) {<a name="line.498"></a>
<FONT color="green">499</FONT>                data[row][0] = columnData[row];<a name="line.499"></a>
<FONT color="green">500</FONT>            }<a name="line.500"></a>
<FONT color="green">501</FONT>            return new BigMatrixImpl(data, false);<a name="line.501"></a>
<FONT color="green">502</FONT>        }<a name="line.502"></a>
<FONT color="green">503</FONT>    <a name="line.503"></a>
<FONT color="green">504</FONT>        /**<a name="line.504"></a>
<FONT color="green">505</FONT>         * Creates a column {@link BigMatrix} using the data from the input<a name="line.505"></a>
<FONT color="green">506</FONT>         * array.<a name="line.506"></a>
<FONT color="green">507</FONT>         *<a name="line.507"></a>
<FONT color="green">508</FONT>         * @param columnData  the input column data<a name="line.508"></a>
<FONT color="green">509</FONT>         * @return a columnData x 1 BigMatrix<a name="line.509"></a>
<FONT color="green">510</FONT>         * @throws IllegalArgumentException if &lt;code&gt;columnData&lt;/code&gt; is empty<a name="line.510"></a>
<FONT color="green">511</FONT>         * @throws NullPointerException if &lt;code&gt;columnData&lt;/code&gt;is null<a name="line.511"></a>
<FONT color="green">512</FONT>         * @deprecated since 2.0 replaced by {@link #createColumnFieldMatrix(FieldElement[])}<a name="line.512"></a>
<FONT color="green">513</FONT>         */<a name="line.513"></a>
<FONT color="green">514</FONT>        @Deprecated<a name="line.514"></a>
<FONT color="green">515</FONT>        public static BigMatrix createColumnBigMatrix(String[] columnData) {<a name="line.515"></a>
<FONT color="green">516</FONT>            int nRows = columnData.length;<a name="line.516"></a>
<FONT color="green">517</FONT>            final BigDecimal[][] data = new BigDecimal[nRows][1];<a name="line.517"></a>
<FONT color="green">518</FONT>            for (int row = 0; row &lt; nRows; row++) {<a name="line.518"></a>
<FONT color="green">519</FONT>                data[row][0] = new BigDecimal(columnData[row]);<a name="line.519"></a>
<FONT color="green">520</FONT>            }<a name="line.520"></a>
<FONT color="green">521</FONT>            return new BigMatrixImpl(data, false);<a name="line.521"></a>
<FONT color="green">522</FONT>        }<a name="line.522"></a>
<FONT color="green">523</FONT>    <a name="line.523"></a>
<FONT color="green">524</FONT>        /**<a name="line.524"></a>
<FONT color="green">525</FONT>         * Check if a row index is valid.<a name="line.525"></a>
<FONT color="green">526</FONT>         * @param m matrix containing the submatrix<a name="line.526"></a>
<FONT color="green">527</FONT>         * @param row row index to check<a name="line.527"></a>
<FONT color="green">528</FONT>         * @exception MatrixIndexException if index is not valid<a name="line.528"></a>
<FONT color="green">529</FONT>         */<a name="line.529"></a>
<FONT color="green">530</FONT>        public static void checkRowIndex(final AnyMatrix m, final int row) {<a name="line.530"></a>
<FONT color="green">531</FONT>            if (row &lt; 0 || row &gt;= m.getRowDimension()) {<a name="line.531"></a>
<FONT color="green">532</FONT>                throw new MatrixIndexException(LocalizedFormats.ROW_INDEX_OUT_OF_RANGE,<a name="line.532"></a>
<FONT color="green">533</FONT>                                               row, 0, m.getRowDimension() - 1);<a name="line.533"></a>
<FONT color="green">534</FONT>            }<a name="line.534"></a>
<FONT color="green">535</FONT>        }<a name="line.535"></a>
<FONT color="green">536</FONT>    <a name="line.536"></a>
<FONT color="green">537</FONT>        /**<a name="line.537"></a>
<FONT color="green">538</FONT>         * Check if a column index is valid.<a name="line.538"></a>
<FONT color="green">539</FONT>         * @param m matrix containing the submatrix<a name="line.539"></a>
<FONT color="green">540</FONT>         * @param column column index to check<a name="line.540"></a>
<FONT color="green">541</FONT>         * @exception MatrixIndexException if index is not valid<a name="line.541"></a>
<FONT color="green">542</FONT>         */<a name="line.542"></a>
<FONT color="green">543</FONT>        public static void checkColumnIndex(final AnyMatrix m, final int column)<a name="line.543"></a>
<FONT color="green">544</FONT>            throws MatrixIndexException {<a name="line.544"></a>
<FONT color="green">545</FONT>            if (column &lt; 0 || column &gt;= m.getColumnDimension()) {<a name="line.545"></a>
<FONT color="green">546</FONT>                throw new MatrixIndexException(LocalizedFormats.COLUMN_INDEX_OUT_OF_RANGE,<a name="line.546"></a>
<FONT color="green">547</FONT>                                               column, 0, m.getColumnDimension() - 1);<a name="line.547"></a>
<FONT color="green">548</FONT>            }<a name="line.548"></a>
<FONT color="green">549</FONT>        }<a name="line.549"></a>
<FONT color="green">550</FONT>    <a name="line.550"></a>
<FONT color="green">551</FONT>        /**<a name="line.551"></a>
<FONT color="green">552</FONT>         * Check if submatrix ranges indices are valid.<a name="line.552"></a>
<FONT color="green">553</FONT>         * Rows and columns are indicated counting from 0 to n-1.<a name="line.553"></a>
<FONT color="green">554</FONT>         *<a name="line.554"></a>
<FONT color="green">555</FONT>         * @param m matrix containing the submatrix<a name="line.555"></a>
<FONT color="green">556</FONT>         * @param startRow Initial row index<a name="line.556"></a>
<FONT color="green">557</FONT>         * @param endRow Final row index<a name="line.557"></a>
<FONT color="green">558</FONT>         * @param startColumn Initial column index<a name="line.558"></a>
<FONT color="green">559</FONT>         * @param endColumn Final column index<a name="line.559"></a>
<FONT color="green">560</FONT>         * @exception MatrixIndexException  if the indices are not valid<a name="line.560"></a>
<FONT color="green">561</FONT>         */<a name="line.561"></a>
<FONT color="green">562</FONT>        public static void checkSubMatrixIndex(final AnyMatrix m,<a name="line.562"></a>
<FONT color="green">563</FONT>                                               final int startRow, final int endRow,<a name="line.563"></a>
<FONT color="green">564</FONT>                                               final int startColumn, final int endColumn) {<a name="line.564"></a>
<FONT color="green">565</FONT>            checkRowIndex(m, startRow);<a name="line.565"></a>
<FONT color="green">566</FONT>            checkRowIndex(m, endRow);<a name="line.566"></a>
<FONT color="green">567</FONT>            if (startRow &gt; endRow) {<a name="line.567"></a>
<FONT color="green">568</FONT>                throw new MatrixIndexException(LocalizedFormats.INITIAL_ROW_AFTER_FINAL_ROW,<a name="line.568"></a>
<FONT color="green">569</FONT>                                               startRow, endRow);<a name="line.569"></a>
<FONT color="green">570</FONT>            }<a name="line.570"></a>
<FONT color="green">571</FONT>    <a name="line.571"></a>
<FONT color="green">572</FONT>            checkColumnIndex(m, startColumn);<a name="line.572"></a>
<FONT color="green">573</FONT>            checkColumnIndex(m, endColumn);<a name="line.573"></a>
<FONT color="green">574</FONT>            if (startColumn &gt; endColumn) {<a name="line.574"></a>
<FONT color="green">575</FONT>                throw new MatrixIndexException(LocalizedFormats.INITIAL_COLUMN_AFTER_FINAL_COLUMN,<a name="line.575"></a>
<FONT color="green">576</FONT>                                               startColumn, endColumn);<a name="line.576"></a>
<FONT color="green">577</FONT>            }<a name="line.577"></a>
<FONT color="green">578</FONT>    <a name="line.578"></a>
<FONT color="green">579</FONT>    <a name="line.579"></a>
<FONT color="green">580</FONT>        }<a name="line.580"></a>
<FONT color="green">581</FONT>    <a name="line.581"></a>
<FONT color="green">582</FONT>        /**<a name="line.582"></a>
<FONT color="green">583</FONT>         * Check if submatrix ranges indices are valid.<a name="line.583"></a>
<FONT color="green">584</FONT>         * Rows and columns are indicated counting from 0 to n-1.<a name="line.584"></a>
<FONT color="green">585</FONT>         *<a name="line.585"></a>
<FONT color="green">586</FONT>         * @param m matrix containing the submatrix<a name="line.586"></a>
<FONT color="green">587</FONT>         * @param selectedRows Array of row indices.<a name="line.587"></a>
<FONT color="green">588</FONT>         * @param selectedColumns Array of column indices.<a name="line.588"></a>
<FONT color="green">589</FONT>         * @exception MatrixIndexException if row or column selections are not valid<a name="line.589"></a>
<FONT color="green">590</FONT>         */<a name="line.590"></a>
<FONT color="green">591</FONT>        public static void checkSubMatrixIndex(final AnyMatrix m,<a name="line.591"></a>
<FONT color="green">592</FONT>                                               final int[] selectedRows, final int[] selectedColumns)<a name="line.592"></a>
<FONT color="green">593</FONT>            throws MatrixIndexException {<a name="line.593"></a>
<FONT color="green">594</FONT>            if (selectedRows.length * selectedColumns.length == 0) {<a name="line.594"></a>
<FONT color="green">595</FONT>                if (selectedRows.length == 0) {<a name="line.595"></a>
<FONT color="green">596</FONT>                    throw new MatrixIndexException(LocalizedFormats.EMPTY_SELECTED_ROW_INDEX_ARRAY);<a name="line.596"></a>
<FONT color="green">597</FONT>                }<a name="line.597"></a>
<FONT color="green">598</FONT>                throw new MatrixIndexException(LocalizedFormats.EMPTY_SELECTED_COLUMN_INDEX_ARRAY);<a name="line.598"></a>
<FONT color="green">599</FONT>            }<a name="line.599"></a>
<FONT color="green">600</FONT>    <a name="line.600"></a>
<FONT color="green">601</FONT>            for (final int row : selectedRows) {<a name="line.601"></a>
<FONT color="green">602</FONT>                checkRowIndex(m, row);<a name="line.602"></a>
<FONT color="green">603</FONT>            }<a name="line.603"></a>
<FONT color="green">604</FONT>            for (final int column : selectedColumns) {<a name="line.604"></a>
<FONT color="green">605</FONT>                checkColumnIndex(m, column);<a name="line.605"></a>
<FONT color="green">606</FONT>            }<a name="line.606"></a>
<FONT color="green">607</FONT>        }<a name="line.607"></a>
<FONT color="green">608</FONT>    <a name="line.608"></a>
<FONT color="green">609</FONT>        /**<a name="line.609"></a>
<FONT color="green">610</FONT>         * Check if matrices are addition compatible<a name="line.610"></a>
<FONT color="green">611</FONT>         * @param left left hand side matrix<a name="line.611"></a>
<FONT color="green">612</FONT>         * @param right right hand side matrix<a name="line.612"></a>
<FONT color="green">613</FONT>         * @exception IllegalArgumentException if matrices are not addition compatible<a name="line.613"></a>
<FONT color="green">614</FONT>         */<a name="line.614"></a>
<FONT color="green">615</FONT>        public static void checkAdditionCompatible(final AnyMatrix left, final AnyMatrix right)<a name="line.615"></a>
<FONT color="green">616</FONT>            throws IllegalArgumentException {<a name="line.616"></a>
<FONT color="green">617</FONT>            if ((left.getRowDimension()    != right.getRowDimension()) ||<a name="line.617"></a>
<FONT color="green">618</FONT>                (left.getColumnDimension() != right.getColumnDimension())) {<a name="line.618"></a>
<FONT color="green">619</FONT>                throw MathRuntimeException.createIllegalArgumentException(<a name="line.619"></a>
<FONT color="green">620</FONT>                        LocalizedFormats.NOT_ADDITION_COMPATIBLE_MATRICES,<a name="line.620"></a>
<FONT color="green">621</FONT>                        left.getRowDimension(), left.getColumnDimension(),<a name="line.621"></a>
<FONT color="green">622</FONT>                        right.getRowDimension(), right.getColumnDimension());<a name="line.622"></a>
<FONT color="green">623</FONT>            }<a name="line.623"></a>
<FONT color="green">624</FONT>        }<a name="line.624"></a>
<FONT color="green">625</FONT>    <a name="line.625"></a>
<FONT color="green">626</FONT>        /**<a name="line.626"></a>
<FONT color="green">627</FONT>         * Check if matrices are subtraction compatible<a name="line.627"></a>
<FONT color="green">628</FONT>         * @param left left hand side matrix<a name="line.628"></a>
<FONT color="green">629</FONT>         * @param right right hand side matrix<a name="line.629"></a>
<FONT color="green">630</FONT>         * @exception IllegalArgumentException if matrices are not subtraction compatible<a name="line.630"></a>
<FONT color="green">631</FONT>         */<a name="line.631"></a>
<FONT color="green">632</FONT>        public static void checkSubtractionCompatible(final AnyMatrix left, final AnyMatrix right)<a name="line.632"></a>
<FONT color="green">633</FONT>            throws IllegalArgumentException {<a name="line.633"></a>
<FONT color="green">634</FONT>            if ((left.getRowDimension()    != right.getRowDimension()) ||<a name="line.634"></a>
<FONT color="green">635</FONT>                (left.getColumnDimension() != right.getColumnDimension())) {<a name="line.635"></a>
<FONT color="green">636</FONT>                throw MathRuntimeException.createIllegalArgumentException(<a name="line.636"></a>
<FONT color="green">637</FONT>                        LocalizedFormats.NOT_SUBTRACTION_COMPATIBLE_MATRICES,<a name="line.637"></a>
<FONT color="green">638</FONT>                        left.getRowDimension(), left.getColumnDimension(),<a name="line.638"></a>
<FONT color="green">639</FONT>                        right.getRowDimension(), right.getColumnDimension());<a name="line.639"></a>
<FONT color="green">640</FONT>            }<a name="line.640"></a>
<FONT color="green">641</FONT>        }<a name="line.641"></a>
<FONT color="green">642</FONT>    <a name="line.642"></a>
<FONT color="green">643</FONT>        /**<a name="line.643"></a>
<FONT color="green">644</FONT>         * Check if matrices are multiplication compatible<a name="line.644"></a>
<FONT color="green">645</FONT>         * @param left left hand side matrix<a name="line.645"></a>
<FONT color="green">646</FONT>         * @param right right hand side matrix<a name="line.646"></a>
<FONT color="green">647</FONT>         * @exception IllegalArgumentException if matrices are not multiplication compatible<a name="line.647"></a>
<FONT color="green">648</FONT>         */<a name="line.648"></a>
<FONT color="green">649</FONT>        public static void checkMultiplicationCompatible(final AnyMatrix left, final AnyMatrix right)<a name="line.649"></a>
<FONT color="green">650</FONT>            throws IllegalArgumentException {<a name="line.650"></a>
<FONT color="green">651</FONT>            if (left.getColumnDimension() != right.getRowDimension()) {<a name="line.651"></a>
<FONT color="green">652</FONT>                throw MathRuntimeException.createIllegalArgumentException(<a name="line.652"></a>
<FONT color="green">653</FONT>                        LocalizedFormats.NOT_MULTIPLICATION_COMPATIBLE_MATRICES,<a name="line.653"></a>
<FONT color="green">654</FONT>                        left.getRowDimension(), left.getColumnDimension(),<a name="line.654"></a>
<FONT color="green">655</FONT>                        right.getRowDimension(), right.getColumnDimension());<a name="line.655"></a>
<FONT color="green">656</FONT>            }<a name="line.656"></a>
<FONT color="green">657</FONT>        }<a name="line.657"></a>
<FONT color="green">658</FONT>    <a name="line.658"></a>
<FONT color="green">659</FONT>        /**<a name="line.659"></a>
<FONT color="green">660</FONT>         * Convert a {@link FieldMatrix}/{@link Fraction} matrix to a {@link RealMatrix}.<a name="line.660"></a>
<FONT color="green">661</FONT>         * @param m matrix to convert<a name="line.661"></a>
<FONT color="green">662</FONT>         * @return converted matrix<a name="line.662"></a>
<FONT color="green">663</FONT>         */<a name="line.663"></a>
<FONT color="green">664</FONT>        public static Array2DRowRealMatrix fractionMatrixToRealMatrix(final FieldMatrix&lt;Fraction&gt; m) {<a name="line.664"></a>
<FONT color="green">665</FONT>            final FractionMatrixConverter converter = new FractionMatrixConverter();<a name="line.665"></a>
<FONT color="green">666</FONT>            m.walkInOptimizedOrder(converter);<a name="line.666"></a>
<FONT color="green">667</FONT>            return converter.getConvertedMatrix();<a name="line.667"></a>
<FONT color="green">668</FONT>        }<a name="line.668"></a>
<FONT color="green">669</FONT>    <a name="line.669"></a>
<FONT color="green">670</FONT>        /** Converter for {@link FieldMatrix}/{@link Fraction}. */<a name="line.670"></a>
<FONT color="green">671</FONT>        private static class FractionMatrixConverter extends DefaultFieldMatrixPreservingVisitor&lt;Fraction&gt; {<a name="line.671"></a>
<FONT color="green">672</FONT>    <a name="line.672"></a>
<FONT color="green">673</FONT>            /** Converted array. */<a name="line.673"></a>
<FONT color="green">674</FONT>            private double[][] data;<a name="line.674"></a>
<FONT color="green">675</FONT>    <a name="line.675"></a>
<FONT color="green">676</FONT>            /** Simple constructor. */<a name="line.676"></a>
<FONT color="green">677</FONT>            public FractionMatrixConverter() {<a name="line.677"></a>
<FONT color="green">678</FONT>                super(Fraction.ZERO);<a name="line.678"></a>
<FONT color="green">679</FONT>            }<a name="line.679"></a>
<FONT color="green">680</FONT>    <a name="line.680"></a>
<FONT color="green">681</FONT>            /** {@inheritDoc} */<a name="line.681"></a>
<FONT color="green">682</FONT>            @Override<a name="line.682"></a>
<FONT color="green">683</FONT>            public void start(int rows, int columns,<a name="line.683"></a>
<FONT color="green">684</FONT>                              int startRow, int endRow, int startColumn, int endColumn) {<a name="line.684"></a>
<FONT color="green">685</FONT>                data = new double[rows][columns];<a name="line.685"></a>
<FONT color="green">686</FONT>            }<a name="line.686"></a>
<FONT color="green">687</FONT>    <a name="line.687"></a>
<FONT color="green">688</FONT>            /** {@inheritDoc} */<a name="line.688"></a>
<FONT color="green">689</FONT>            @Override<a name="line.689"></a>
<FONT color="green">690</FONT>            public void visit(int row, int column, Fraction value) {<a name="line.690"></a>
<FONT color="green">691</FONT>                data[row][column] = value.doubleValue();<a name="line.691"></a>
<FONT color="green">692</FONT>            }<a name="line.692"></a>
<FONT color="green">693</FONT>    <a name="line.693"></a>
<FONT color="green">694</FONT>            /** Get the converted matrix.<a name="line.694"></a>
<FONT color="green">695</FONT>             * @return converted matrix<a name="line.695"></a>
<FONT color="green">696</FONT>             */<a name="line.696"></a>
<FONT color="green">697</FONT>            Array2DRowRealMatrix getConvertedMatrix() {<a name="line.697"></a>
<FONT color="green">698</FONT>                return new Array2DRowRealMatrix(data, false);<a name="line.698"></a>
<FONT color="green">699</FONT>            }<a name="line.699"></a>
<FONT color="green">700</FONT>    <a name="line.700"></a>
<FONT color="green">701</FONT>        }<a name="line.701"></a>
<FONT color="green">702</FONT>    <a name="line.702"></a>
<FONT color="green">703</FONT>        /**<a name="line.703"></a>
<FONT color="green">704</FONT>         * Convert a {@link FieldMatrix}/{@link BigFraction} matrix to a {@link RealMatrix}.<a name="line.704"></a>
<FONT color="green">705</FONT>         * @param m matrix to convert<a name="line.705"></a>
<FONT color="green">706</FONT>         * @return converted matrix<a name="line.706"></a>
<FONT color="green">707</FONT>         */<a name="line.707"></a>
<FONT color="green">708</FONT>        public static Array2DRowRealMatrix bigFractionMatrixToRealMatrix(final FieldMatrix&lt;BigFraction&gt; m) {<a name="line.708"></a>
<FONT color="green">709</FONT>            final BigFractionMatrixConverter converter = new BigFractionMatrixConverter();<a name="line.709"></a>
<FONT color="green">710</FONT>            m.walkInOptimizedOrder(converter);<a name="line.710"></a>
<FONT color="green">711</FONT>            return converter.getConvertedMatrix();<a name="line.711"></a>
<FONT color="green">712</FONT>        }<a name="line.712"></a>
<FONT color="green">713</FONT>    <a name="line.713"></a>
<FONT color="green">714</FONT>        /** Converter for {@link FieldMatrix}/{@link BigFraction}. */<a name="line.714"></a>
<FONT color="green">715</FONT>        private static class BigFractionMatrixConverter extends DefaultFieldMatrixPreservingVisitor&lt;BigFraction&gt; {<a name="line.715"></a>
<FONT color="green">716</FONT>    <a name="line.716"></a>
<FONT color="green">717</FONT>            /** Converted array. */<a name="line.717"></a>
<FONT color="green">718</FONT>            private double[][] data;<a name="line.718"></a>
<FONT color="green">719</FONT>    <a name="line.719"></a>
<FONT color="green">720</FONT>            /** Simple constructor. */<a name="line.720"></a>
<FONT color="green">721</FONT>            public BigFractionMatrixConverter() {<a name="line.721"></a>
<FONT color="green">722</FONT>                super(BigFraction.ZERO);<a name="line.722"></a>
<FONT color="green">723</FONT>            }<a name="line.723"></a>
<FONT color="green">724</FONT>    <a name="line.724"></a>
<FONT color="green">725</FONT>            /** {@inheritDoc} */<a name="line.725"></a>
<FONT color="green">726</FONT>            @Override<a name="line.726"></a>
<FONT color="green">727</FONT>            public void start(int rows, int columns,<a name="line.727"></a>
<FONT color="green">728</FONT>                              int startRow, int endRow, int startColumn, int endColumn) {<a name="line.728"></a>
<FONT color="green">729</FONT>                data = new double[rows][columns];<a name="line.729"></a>
<FONT color="green">730</FONT>            }<a name="line.730"></a>
<FONT color="green">731</FONT>    <a name="line.731"></a>
<FONT color="green">732</FONT>            /** {@inheritDoc} */<a name="line.732"></a>
<FONT color="green">733</FONT>            @Override<a name="line.733"></a>
<FONT color="green">734</FONT>            public void visit(int row, int column, BigFraction value) {<a name="line.734"></a>
<FONT color="green">735</FONT>                data[row][column] = value.doubleValue();<a name="line.735"></a>
<FONT color="green">736</FONT>            }<a name="line.736"></a>
<FONT color="green">737</FONT>    <a name="line.737"></a>
<FONT color="green">738</FONT>            /** Get the converted matrix.<a name="line.738"></a>
<FONT color="green">739</FONT>             * @return converted matrix<a name="line.739"></a>
<FONT color="green">740</FONT>             */<a name="line.740"></a>
<FONT color="green">741</FONT>            Array2DRowRealMatrix getConvertedMatrix() {<a name="line.741"></a>
<FONT color="green">742</FONT>                return new Array2DRowRealMatrix(data, false);<a name="line.742"></a>
<FONT color="green">743</FONT>            }<a name="line.743"></a>
<FONT color="green">744</FONT>    <a name="line.744"></a>
<FONT color="green">745</FONT>        }<a name="line.745"></a>
<FONT color="green">746</FONT>    <a name="line.746"></a>
<FONT color="green">747</FONT>        /** Serialize a {@link RealVector}.<a name="line.747"></a>
<FONT color="green">748</FONT>         * &lt;p&gt;<a name="line.748"></a>
<FONT color="green">749</FONT>         * This method is intended to be called from within a private<a name="line.749"></a>
<FONT color="green">750</FONT>         * &lt;code&gt;writeObject&lt;/code&gt; method (after a call to<a name="line.750"></a>
<FONT color="green">751</FONT>         * &lt;code&gt;oos.defaultWriteObject()&lt;/code&gt;) in a class that has a<a name="line.751"></a>
<FONT color="green">752</FONT>         * {@link RealVector} field, which should be declared &lt;code&gt;transient&lt;/code&gt;.<a name="line.752"></a>
<FONT color="green">753</FONT>         * This way, the default handling does not serialize the vector (the {@link<a name="line.753"></a>
<FONT color="green">754</FONT>         * RealVector} interface is not serializable by default) but this method does<a name="line.754"></a>
<FONT color="green">755</FONT>         * serialize it specifically.<a name="line.755"></a>
<FONT color="green">756</FONT>         * &lt;/p&gt;<a name="line.756"></a>
<FONT color="green">757</FONT>         * &lt;p&gt;<a name="line.757"></a>
<FONT color="green">758</FONT>         * The following example shows how a simple class with a name and a real vector<a name="line.758"></a>
<FONT color="green">759</FONT>         * should be written:<a name="line.759"></a>
<FONT color="green">760</FONT>         * &lt;pre&gt;&lt;code&gt;<a name="line.760"></a>
<FONT color="green">761</FONT>         * public class NamedVector implements Serializable {<a name="line.761"></a>
<FONT color="green">762</FONT>         *<a name="line.762"></a>
<FONT color="green">763</FONT>         *     private final String name;<a name="line.763"></a>
<FONT color="green">764</FONT>         *     private final transient RealVector coefficients;<a name="line.764"></a>
<FONT color="green">765</FONT>         *<a name="line.765"></a>
<FONT color="green">766</FONT>         *     // omitted constructors, getters ...<a name="line.766"></a>
<FONT color="green">767</FONT>         *<a name="line.767"></a>
<FONT color="green">768</FONT>         *     private void writeObject(ObjectOutputStream oos) throws IOException {<a name="line.768"></a>
<FONT color="green">769</FONT>         *         oos.defaultWriteObject();  // takes care of name field<a name="line.769"></a>
<FONT color="green">770</FONT>         *         MatrixUtils.serializeRealVector(coefficients, oos);<a name="line.770"></a>
<FONT color="green">771</FONT>         *     }<a name="line.771"></a>
<FONT color="green">772</FONT>         *<a name="line.772"></a>
<FONT color="green">773</FONT>         *     private void readObject(ObjectInputStream ois) throws ClassNotFoundException, IOException {<a name="line.773"></a>
<FONT color="green">774</FONT>         *         ois.defaultReadObject();  // takes care of name field<a name="line.774"></a>
<FONT color="green">775</FONT>         *         MatrixUtils.deserializeRealVector(this, "coefficients", ois);<a name="line.775"></a>
<FONT color="green">776</FONT>         *     }<a name="line.776"></a>
<FONT color="green">777</FONT>         *<a name="line.777"></a>
<FONT color="green">778</FONT>         * }<a name="line.778"></a>
<FONT color="green">779</FONT>         * &lt;/code&gt;&lt;/pre&gt;<a name="line.779"></a>
<FONT color="green">780</FONT>         * &lt;/p&gt;<a name="line.780"></a>
<FONT color="green">781</FONT>         *<a name="line.781"></a>
<FONT color="green">782</FONT>         * @param vector real vector to serialize<a name="line.782"></a>
<FONT color="green">783</FONT>         * @param oos stream where the real vector should be written<a name="line.783"></a>
<FONT color="green">784</FONT>         * @exception IOException if object cannot be written to stream<a name="line.784"></a>
<FONT color="green">785</FONT>         * @see #deserializeRealVector(Object, String, ObjectInputStream)<a name="line.785"></a>
<FONT color="green">786</FONT>         */<a name="line.786"></a>
<FONT color="green">787</FONT>        public static void serializeRealVector(final RealVector vector,<a name="line.787"></a>
<FONT color="green">788</FONT>                                               final ObjectOutputStream oos)<a name="line.788"></a>
<FONT color="green">789</FONT>            throws IOException {<a name="line.789"></a>
<FONT color="green">790</FONT>            final int n = vector.getDimension();<a name="line.790"></a>
<FONT color="green">791</FONT>            oos.writeInt(n);<a name="line.791"></a>
<FONT color="green">792</FONT>            for (int i = 0; i &lt; n; ++i) {<a name="line.792"></a>
<FONT color="green">793</FONT>                oos.writeDouble(vector.getEntry(i));<a name="line.793"></a>
<FONT color="green">794</FONT>            }<a name="line.794"></a>
<FONT color="green">795</FONT>        }<a name="line.795"></a>
<FONT color="green">796</FONT>    <a name="line.796"></a>
<FONT color="green">797</FONT>        /** Deserialize  a {@link RealVector} field in a class.<a name="line.797"></a>
<FONT color="green">798</FONT>         * &lt;p&gt;<a name="line.798"></a>
<FONT color="green">799</FONT>         * This method is intended to be called from within a private<a name="line.799"></a>
<FONT color="green">800</FONT>         * &lt;code&gt;readObject&lt;/code&gt; method (after a call to<a name="line.800"></a>
<FONT color="green">801</FONT>         * &lt;code&gt;ois.defaultReadObject()&lt;/code&gt;) in a class that has a<a name="line.801"></a>
<FONT color="green">802</FONT>         * {@link RealVector} field, which should be declared &lt;code&gt;transient&lt;/code&gt;.<a name="line.802"></a>
<FONT color="green">803</FONT>         * This way, the default handling does not deserialize the vector (the {@link<a name="line.803"></a>
<FONT color="green">804</FONT>         * RealVector} interface is not serializable by default) but this method does<a name="line.804"></a>
<FONT color="green">805</FONT>         * deserialize it specifically.<a name="line.805"></a>
<FONT color="green">806</FONT>         * &lt;/p&gt;<a name="line.806"></a>
<FONT color="green">807</FONT>         * @param instance instance in which the field must be set up<a name="line.807"></a>
<FONT color="green">808</FONT>         * @param fieldName name of the field within the class (may be private and final)<a name="line.808"></a>
<FONT color="green">809</FONT>         * @param ois stream from which the real vector should be read<a name="line.809"></a>
<FONT color="green">810</FONT>         * @exception ClassNotFoundException if a class in the stream cannot be found<a name="line.810"></a>
<FONT color="green">811</FONT>         * @exception IOException if object cannot be read from the stream<a name="line.811"></a>
<FONT color="green">812</FONT>         * @see #serializeRealVector(RealVector, ObjectOutputStream)<a name="line.812"></a>
<FONT color="green">813</FONT>         */<a name="line.813"></a>
<FONT color="green">814</FONT>        public static void deserializeRealVector(final Object instance,<a name="line.814"></a>
<FONT color="green">815</FONT>                                                 final String fieldName,<a name="line.815"></a>
<FONT color="green">816</FONT>                                                 final ObjectInputStream ois)<a name="line.816"></a>
<FONT color="green">817</FONT>          throws ClassNotFoundException, IOException {<a name="line.817"></a>
<FONT color="green">818</FONT>            try {<a name="line.818"></a>
<FONT color="green">819</FONT>    <a name="line.819"></a>
<FONT color="green">820</FONT>                // read the vector data<a name="line.820"></a>
<FONT color="green">821</FONT>                final int n = ois.readInt();<a name="line.821"></a>
<FONT color="green">822</FONT>                final double[] data = new double[n];<a name="line.822"></a>
<FONT color="green">823</FONT>                for (int i = 0; i &lt; n; ++i) {<a name="line.823"></a>
<FONT color="green">824</FONT>                    data[i] = ois.readDouble();<a name="line.824"></a>
<FONT color="green">825</FONT>                }<a name="line.825"></a>
<FONT color="green">826</FONT>    <a name="line.826"></a>
<FONT color="green">827</FONT>                // create the instance<a name="line.827"></a>
<FONT color="green">828</FONT>                final RealVector vector = new ArrayRealVector(data, false);<a name="line.828"></a>
<FONT color="green">829</FONT>    <a name="line.829"></a>
<FONT color="green">830</FONT>                // set up the field<a name="line.830"></a>
<FONT color="green">831</FONT>                final java.lang.reflect.Field f =<a name="line.831"></a>
<FONT color="green">832</FONT>                    instance.getClass().getDeclaredField(fieldName);<a name="line.832"></a>
<FONT color="green">833</FONT>                f.setAccessible(true);<a name="line.833"></a>
<FONT color="green">834</FONT>                f.set(instance, vector);<a name="line.834"></a>
<FONT color="green">835</FONT>    <a name="line.835"></a>
<FONT color="green">836</FONT>            } catch (NoSuchFieldException nsfe) {<a name="line.836"></a>
<FONT color="green">837</FONT>                IOException ioe = new IOException();<a name="line.837"></a>
<FONT color="green">838</FONT>                ioe.initCause(nsfe);<a name="line.838"></a>
<FONT color="green">839</FONT>                throw ioe;<a name="line.839"></a>
<FONT color="green">840</FONT>            } catch (IllegalAccessException iae) {<a name="line.840"></a>
<FONT color="green">841</FONT>                IOException ioe = new IOException();<a name="line.841"></a>
<FONT color="green">842</FONT>                ioe.initCause(iae);<a name="line.842"></a>
<FONT color="green">843</FONT>                throw ioe;<a name="line.843"></a>
<FONT color="green">844</FONT>            }<a name="line.844"></a>
<FONT color="green">845</FONT>    <a name="line.845"></a>
<FONT color="green">846</FONT>        }<a name="line.846"></a>
<FONT color="green">847</FONT>    <a name="line.847"></a>
<FONT color="green">848</FONT>        /** Serialize a {@link RealMatrix}.<a name="line.848"></a>
<FONT color="green">849</FONT>         * &lt;p&gt;<a name="line.849"></a>
<FONT color="green">850</FONT>         * This method is intended to be called from within a private<a name="line.850"></a>
<FONT color="green">851</FONT>         * &lt;code&gt;writeObject&lt;/code&gt; method (after a call to<a name="line.851"></a>
<FONT color="green">852</FONT>         * &lt;code&gt;oos.defaultWriteObject()&lt;/code&gt;) in a class that has a<a name="line.852"></a>
<FONT color="green">853</FONT>         * {@link RealMatrix} field, which should be declared &lt;code&gt;transient&lt;/code&gt;.<a name="line.853"></a>
<FONT color="green">854</FONT>         * This way, the default handling does not serialize the matrix (the {@link<a name="line.854"></a>
<FONT color="green">855</FONT>         * RealMatrix} interface is not serializable by default) but this method does<a name="line.855"></a>
<FONT color="green">856</FONT>         * serialize it specifically.<a name="line.856"></a>
<FONT color="green">857</FONT>         * &lt;/p&gt;<a name="line.857"></a>
<FONT color="green">858</FONT>         * &lt;p&gt;<a name="line.858"></a>
<FONT color="green">859</FONT>         * The following example shows how a simple class with a name and a real matrix<a name="line.859"></a>
<FONT color="green">860</FONT>         * should be written:<a name="line.860"></a>
<FONT color="green">861</FONT>         * &lt;pre&gt;&lt;code&gt;<a name="line.861"></a>
<FONT color="green">862</FONT>         * public class NamedMatrix implements Serializable {<a name="line.862"></a>
<FONT color="green">863</FONT>         *<a name="line.863"></a>
<FONT color="green">864</FONT>         *     private final String name;<a name="line.864"></a>
<FONT color="green">865</FONT>         *     private final transient RealMatrix coefficients;<a name="line.865"></a>
<FONT color="green">866</FONT>         *<a name="line.866"></a>
<FONT color="green">867</FONT>         *     // omitted constructors, getters ...<a name="line.867"></a>
<FONT color="green">868</FONT>         *<a name="line.868"></a>
<FONT color="green">869</FONT>         *     private void writeObject(ObjectOutputStream oos) throws IOException {<a name="line.869"></a>
<FONT color="green">870</FONT>         *         oos.defaultWriteObject();  // takes care of name field<a name="line.870"></a>
<FONT color="green">871</FONT>         *         MatrixUtils.serializeRealMatrix(coefficients, oos);<a name="line.871"></a>
<FONT color="green">872</FONT>         *     }<a name="line.872"></a>
<FONT color="green">873</FONT>         *<a name="line.873"></a>
<FONT color="green">874</FONT>         *     private void readObject(ObjectInputStream ois) throws ClassNotFoundException, IOException {<a name="line.874"></a>
<FONT color="green">875</FONT>         *         ois.defaultReadObject();  // takes care of name field<a name="line.875"></a>
<FONT color="green">876</FONT>         *         MatrixUtils.deserializeRealMatrix(this, "coefficients", ois);<a name="line.876"></a>
<FONT color="green">877</FONT>         *     }<a name="line.877"></a>
<FONT color="green">878</FONT>         *<a name="line.878"></a>
<FONT color="green">879</FONT>         * }<a name="line.879"></a>
<FONT color="green">880</FONT>         * &lt;/code&gt;&lt;/pre&gt;<a name="line.880"></a>
<FONT color="green">881</FONT>         * &lt;/p&gt;<a name="line.881"></a>
<FONT color="green">882</FONT>         *<a name="line.882"></a>
<FONT color="green">883</FONT>         * @param matrix real matrix to serialize<a name="line.883"></a>
<FONT color="green">884</FONT>         * @param oos stream where the real matrix should be written<a name="line.884"></a>
<FONT color="green">885</FONT>         * @exception IOException if object cannot be written to stream<a name="line.885"></a>
<FONT color="green">886</FONT>         * @see #deserializeRealMatrix(Object, String, ObjectInputStream)<a name="line.886"></a>
<FONT color="green">887</FONT>         */<a name="line.887"></a>
<FONT color="green">888</FONT>        public static void serializeRealMatrix(final RealMatrix matrix,<a name="line.888"></a>
<FONT color="green">889</FONT>                                               final ObjectOutputStream oos)<a name="line.889"></a>
<FONT color="green">890</FONT>            throws IOException {<a name="line.890"></a>
<FONT color="green">891</FONT>            final int n = matrix.getRowDimension();<a name="line.891"></a>
<FONT color="green">892</FONT>            final int m = matrix.getColumnDimension();<a name="line.892"></a>
<FONT color="green">893</FONT>            oos.writeInt(n);<a name="line.893"></a>
<FONT color="green">894</FONT>            oos.writeInt(m);<a name="line.894"></a>
<FONT color="green">895</FONT>            for (int i = 0; i &lt; n; ++i) {<a name="line.895"></a>
<FONT color="green">896</FONT>                for (int j = 0; j &lt; m; ++j) {<a name="line.896"></a>
<FONT color="green">897</FONT>                    oos.writeDouble(matrix.getEntry(i, j));<a name="line.897"></a>
<FONT color="green">898</FONT>                }<a name="line.898"></a>
<FONT color="green">899</FONT>            }<a name="line.899"></a>
<FONT color="green">900</FONT>        }<a name="line.900"></a>
<FONT color="green">901</FONT>    <a name="line.901"></a>
<FONT color="green">902</FONT>        /** Deserialize  a {@link RealMatrix} field in a class.<a name="line.902"></a>
<FONT color="green">903</FONT>         * &lt;p&gt;<a name="line.903"></a>
<FONT color="green">904</FONT>         * This method is intended to be called from within a private<a name="line.904"></a>
<FONT color="green">905</FONT>         * &lt;code&gt;readObject&lt;/code&gt; method (after a call to<a name="line.905"></a>
<FONT color="green">906</FONT>         * &lt;code&gt;ois.defaultReadObject()&lt;/code&gt;) in a class that has a<a name="line.906"></a>
<FONT color="green">907</FONT>         * {@link RealMatrix} field, which should be declared &lt;code&gt;transient&lt;/code&gt;.<a name="line.907"></a>
<FONT color="green">908</FONT>         * This way, the default handling does not deserialize the matrix (the {@link<a name="line.908"></a>
<FONT color="green">909</FONT>         * RealMatrix} interface is not serializable by default) but this method does<a name="line.909"></a>
<FONT color="green">910</FONT>         * deserialize it specifically.<a name="line.910"></a>
<FONT color="green">911</FONT>         * &lt;/p&gt;<a name="line.911"></a>
<FONT color="green">912</FONT>         * @param instance instance in which the field must be set up<a name="line.912"></a>
<FONT color="green">913</FONT>         * @param fieldName name of the field within the class (may be private and final)<a name="line.913"></a>
<FONT color="green">914</FONT>         * @param ois stream from which the real matrix should be read<a name="line.914"></a>
<FONT color="green">915</FONT>         * @exception ClassNotFoundException if a class in the stream cannot be found<a name="line.915"></a>
<FONT color="green">916</FONT>         * @exception IOException if object cannot be read from the stream<a name="line.916"></a>
<FONT color="green">917</FONT>         * @see #serializeRealMatrix(RealMatrix, ObjectOutputStream)<a name="line.917"></a>
<FONT color="green">918</FONT>         */<a name="line.918"></a>
<FONT color="green">919</FONT>        public static void deserializeRealMatrix(final Object instance,<a name="line.919"></a>
<FONT color="green">920</FONT>                                                 final String fieldName,<a name="line.920"></a>
<FONT color="green">921</FONT>                                                 final ObjectInputStream ois)<a name="line.921"></a>
<FONT color="green">922</FONT>          throws ClassNotFoundException, IOException {<a name="line.922"></a>
<FONT color="green">923</FONT>            try {<a name="line.923"></a>
<FONT color="green">924</FONT>    <a name="line.924"></a>
<FONT color="green">925</FONT>                // read the matrix data<a name="line.925"></a>
<FONT color="green">926</FONT>                final int n = ois.readInt();<a name="line.926"></a>
<FONT color="green">927</FONT>                final int m = ois.readInt();<a name="line.927"></a>
<FONT color="green">928</FONT>                final double[][] data = new double[n][m];<a name="line.928"></a>
<FONT color="green">929</FONT>                for (int i = 0; i &lt; n; ++i) {<a name="line.929"></a>
<FONT color="green">930</FONT>                    final double[] dataI = data[i];<a name="line.930"></a>
<FONT color="green">931</FONT>                    for (int j = 0; j &lt; m; ++j) {<a name="line.931"></a>
<FONT color="green">932</FONT>                        dataI[j] = ois.readDouble();<a name="line.932"></a>
<FONT color="green">933</FONT>                    }<a name="line.933"></a>
<FONT color="green">934</FONT>                }<a name="line.934"></a>
<FONT color="green">935</FONT>    <a name="line.935"></a>
<FONT color="green">936</FONT>                // create the instance<a name="line.936"></a>
<FONT color="green">937</FONT>                final RealMatrix matrix = new Array2DRowRealMatrix(data, false);<a name="line.937"></a>
<FONT color="green">938</FONT>    <a name="line.938"></a>
<FONT color="green">939</FONT>                // set up the field<a name="line.939"></a>
<FONT color="green">940</FONT>                final java.lang.reflect.Field f =<a name="line.940"></a>
<FONT color="green">941</FONT>                    instance.getClass().getDeclaredField(fieldName);<a name="line.941"></a>
<FONT color="green">942</FONT>                f.setAccessible(true);<a name="line.942"></a>
<FONT color="green">943</FONT>                f.set(instance, matrix);<a name="line.943"></a>
<FONT color="green">944</FONT>    <a name="line.944"></a>
<FONT color="green">945</FONT>            } catch (NoSuchFieldException nsfe) {<a name="line.945"></a>
<FONT color="green">946</FONT>                IOException ioe = new IOException();<a name="line.946"></a>
<FONT color="green">947</FONT>                ioe.initCause(nsfe);<a name="line.947"></a>
<FONT color="green">948</FONT>                throw ioe;<a name="line.948"></a>
<FONT color="green">949</FONT>            } catch (IllegalAccessException iae) {<a name="line.949"></a>
<FONT color="green">950</FONT>                IOException ioe = new IOException();<a name="line.950"></a>
<FONT color="green">951</FONT>                ioe.initCause(iae);<a name="line.951"></a>
<FONT color="green">952</FONT>                throw ioe;<a name="line.952"></a>
<FONT color="green">953</FONT>            }<a name="line.953"></a>
<FONT color="green">954</FONT>    <a name="line.954"></a>
<FONT color="green">955</FONT>        }<a name="line.955"></a>
<FONT color="green">956</FONT>    <a name="line.956"></a>
<FONT color="green">957</FONT>    }<a name="line.957"></a>




























































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